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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 456 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  2. 2.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 34 sq cm (c) 30 sq cm (d) 17 sq cm
  3. 3.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 22 cm (c) 3 cm (d) 4 cm
  4. 4.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 80 sq cm (d) 17 sq cm
  5. 5.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 88 sq cm (d) 99 sq cm
  6. 6.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 130 cm (c) 23 cm (d) 46 cm
  7. 7.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 25 cm (d) 50 cm
  8. 8.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 44 cm (d) 112 cm
  9. 9.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 192 sq cm (d) 208 sq cm
  10. 10.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 6 cm (c) 3 cm (d) 4 cm
  11. 11.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 220 sq cm (c) 200 sq cm (d) 60 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  13. 13.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 60 sq cm (d) 34 sq cm
  14. 14.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 3 cm (d) 6 cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  18. 18.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
  20. 20.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 24 sq cm (c) 135 sq cm (d) 48 sq cm
  21. 21.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 42 sq cm (c) 26 sq cm (d) 49 sq cm
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  23. 23.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  24. 24.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 34 cm (c) 4 cm (d) 6 cm
  25. 25.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 28 sq cm (d) 171 sq cm
  26. 26.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 14 sq cm (d) 56 sq cm
  28. 28.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 7 cm (d) 8 cm
  29. 29.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 120 cm (c) 9 cm (d) 10 cm
  30. 30.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 60 sq cm (d) 50 sq cm
  31. 31.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 26 cm (d) 20 cm
  32. 32.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 144 cm
  33. 33.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 16 cm
  34. 34.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 7 cm (d) 14 cm
  35. 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 180 cm (c) 10 cm (d) 20 cm
  36. 36.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
  37. 37.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 32 sq cm (d) 18 sq cm
  38. 38.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
  39. 39.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 168 sq cm (d) 154 sq cm
  40. 40.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 48 sq cm (c) 95 sq cm (d) 24 sq cm

Answer key

  1. 169 sq cm
  2. 30 sq cm
  3. 3 cm
  4. 70 sq cm
  5. 88 sq cm
  6. 46 cm
  7. 50 cm
  8. 44 cm
  9. 192 sq cm
  10. 3 cm
  11. 200 sq cm
  12. 225 sq cm
  13. 60 sq cm
  14. 3 cm
  15. 100 sq cm
  16. 25 sq cm
  17. 64 sq cm
  18. 3 cm
  19. 60 sq cm
  20. 135 sq cm
  21. 42 sq cm
  22. 16 cm
  23. 9 cm
  24. 3 cm
  25. 171 sq cm
  26. 81 sq cm
  27. 48 sq cm
  28. 7 cm
  29. 9 cm
  30. 50 sq cm
  31. 26 cm
  32. 9 cm
  33. 3 cm
  34. 7 cm
  35. 10 cm
  36. 240 sq cm
  37. 32 sq cm
  38. 32 cm
  39. 154 sq cm
  40. 95 sq cm

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